100101131103012 has 48 divisors (see below), whose sum is σ = 251591254276992. Its totient is φ = 30793603703040.

The previous prime is 100101131102993. The next prime is 100101131103037. The reversal of 100101131103012 is 210301131101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101131102982 and 100101131103000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69538689 + ... + 70963592.

It is an arithmetic number, because the mean of its divisors is an integer number (5241484464104).

Almost surely, 2^{100101131103012} is an apocalyptic number.

100101131103012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101131103012 is an abundant number, since it is smaller than the sum of its proper divisors (151490123173980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101131103012 is a wasteful number, since it uses less digits than its factorization.

100101131103012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140506868 (or 140506866 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100101131103012 its reverse (210301131101001), we get a palindrome (310402262204013).

The spelling of 100101131103012 in words is "one hundred trillion, one hundred one billion, one hundred thirty-one million, one hundred three thousand, twelve".